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The worksheet you provided is focused on Geometry, specifically on Points, Lines, and Planes. Here are the questions along with some guidance to help answer them based on the diagrams provided:

### Points & Lines: Classwork (Use the first diagram)

1. **Name three collinear points on line and on line.**  
   *Example Answer:* Collinear points on line \( q \) could be \( H, L, \) and \( J \).

2. **Name 4 sets of non-collinear points.**  
   *Example Answer:* Non-collinear sets could be \( H, K, S \); \( J, L, O \); \( A, I, K \); \( S, I, K \).

3. **Name the opposite rays on line and on line.**  
   *Example Answer:* Opposite rays could include \( \overrightarrow{HJ} \) and \( \overrightarrow{HL} \).

4. **How many points are marked on line?**  
   *Example Answer:* Count the points on the given line in the diagram.

5. **How many points are there on line?**  
   *Example Answer:* Similar to above, count the points on the specific line mentioned.

### Points & Lines: Homework (Use the second diagram)

6. **Name three collinear points on line.**  
   *Example Answer:* Points \( Q, R, \) and \( S \) are collinear.

7. **Name 4 sets of collinear points.**  
   *Example Answer:* Possible sets could be \( O, Q, W \); \( U, V, R \); \( T, U, S \); \( P, Q, S \).

8. **Name two opposite rays on line with an endpoint.**  
   *Example Answer:* Opposite rays could be \( \overrightarrow{OQ} \) and \( \overrightarrow{OR} \).

9. **Which 4 points are collinear? What line are they on?**  
   *Example Answer:* Points \( Q, R, S, T \) on line \( r \).

10. **How many points are there on line?**  
    *Example Answer:* Count the points shown on the line.

### Points & Lines: Classwork (Use the third diagram)

11-15. **Questions about identifying points that are collinear, non-collinear, and identifying opposite rays.**

### Points & Lines: Homework (Use the third diagram)

16-20. **Similar questions about collinear, non-collinear points, and true/false about opposite rays.**

Would you like specific answers for each question based on the diagrams? Let me know how detailed you want the explanations to be or if you need further help with any particular question!

### Related Questions:
1. What is the difference between collinear and non-collinear points?
2. How can you identify opposite rays in a geometric diagram?
3. What are the criteria for points to be considered collinear?
4. Why is it important to distinguish between points, lines, and rays in geometry?
5. How can a diagram help in understanding geometric concepts such as collinearity?

### Tip:
When dealing with diagrams, carefully observe the arrangement of points, lines, and rays. Identifying key patterns such as straight lines for collinearity or extending lines for opposite rays is essential for accuracy.

The geometry worksheet provided asks about identifying collinear and non-collinear points, opposite rays, and counting points on lines based on the given diagrams.

Explore a worksheet on geometry concepts like collinear and non-collinear points, opposite rays, and counting points on lines. The worksheet is suitable for students in grades 7-9 and focuses on essential geometric properties.

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